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Finding the Fourth Proportional to 302,459.40, 417,369.24 and 175,143.24

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Solution

The fourth proportional to 302,459.40, 417,369.24 and 175,143.24 is: 241,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,459.40 : 417,369.24 = 175,143.24 : x
  2. Step 2: Convert to fraction form
    302,459.40/417,369.24 = 175,143.24/x
  3. Step 3: Cross multiply
    302,459.40x = 417,369.24 × 175,143.24
  4. Step 4: Simplify right side
    302,459.40x = 73,099,400,969.94
  5. Step 5: Solve for x
    x = 73,099,400,969.94/302,459.40
  6. Step 6: Final answer
    x = 241,683.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.